95679215345448 has 384 divisors, whose sum is σ = 313418929824000. Its totient is φ = 26781745858560.

The previous prime is 95679215345401. The next prime is 95679215345489. The reversal of 95679215345448 is 84454351297659.

95679215345448 is a `hidden beast` number, since 9 + 5 + 6 + 7 + 9 + 21 + 53 + 4 + 544 + 8 = 666.

It is a super-2 number, since 2×95679215345448² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131648818 + ... + 132373598.

It is an arithmetic number, because the mean of its divisors is an integer number (816195129750).

Almost surely, 2^{95679215345448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95679215345448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156709464912000).

95679215345448 is an abundant number, since it is smaller than the sum of its proper divisors (217739714478552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95679215345448 is a wasteful number, since it uses less digits than its factorization.

95679215345448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725007 (or 724991 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 72.

The spelling of 95679215345448 in words is "ninety-five trillion, six hundred seventy-nine billion, two hundred fifteen million, three hundred forty-five thousand, four hundred forty-eight".